3.2. The simulation of parameter-distributed processes is connected with discretization in space and time.The distribution of changes in the temperature x of a heated at the front massive long metal piece isdescribed by the following partial differential equation:Əx(z,t)F x(z,t)a[x(z,t) - 0,]+b-Əz?where 0, is the ambient temperature, a and b are constants. Derive the discrete model by applyingdiscretization first with respect to z (z; = i.Az) and after that with respect to t (tx = k.At), using backwardfinite differences for the corresponding derivatives.

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3.2. The simulation of parameter-distributed processes is connected with discretization in space and time. The distribution of changes in the temperature x of a heated at the front massive long metal piece is described by the following partial differential equation: Əx(z,t) Ət 2x(z,t) əz² = a[x(z,t)-0,]+b· where 0, is the ambient temperature, a and b are constants. Derive the discrete model by applying discretization first with respect to z (z₁ = i.Az) and after that with respect to t (tk=k.At), using backward finite differences for the corresponding derivatives.

3.2. The simulation of parameter-distributed processes is connected with discretization in space and time. The distribution of changes in the temperature x of a heated at the front massive long metal piece is described by the following partial differential equation: Əx(z,t) Ət 2x(z,t) əz² = a[x(z,t)-0,]+b· where 0, is the ambient temperature, a and b are constants. Derive the discrete model by applying discretization first with respect to z (z₁ = i.Az) and after that with respect to t (tk=k.At), using backward finite differences for the corresponding derivatives.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter2: The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 97CP: Verify the normalization equation 0f(v)dv=1 In doing the integral, first make substitution...

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